Dissipative filtering for linear discrete-time systems via LMI

Authors:
Chun-Jie Li;Hai-Yi An;Yi-Fu Feng
Affiliations:
School of Information Science and Engineering, Bohai University, Liaoning, Jinzhou, China;Panjin senior middle school, Liaoning Panjin, China;College of Information Science and Engineering, Northeastern University, Liaoning Shenyang, China
Venue:
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Year:
2009

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Abstract

The problem of the dissipative filtering for linear discrete systems is dealt with. A sufficient condition for existence of a dissipative filter such that the error filtering system is asymptotically stable and guarantees dissipative performance, are derived in the sense of Lyapunov asymptotic stability and are formulated in the format of linear matrix inequalities (LMIs). Numerical example is provided to demonstrate the feasibility of the proposed condition and filters design procedure.